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In the sport of mixed martial arts (MMA), more than 30% of all fighter

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In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post Updated on: 27 Oct 2014, 01:16
2
8
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

62% (02:56) correct 38% (02:54) wrong based on 112 sessions

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In the sport of mixed martial arts (MMA), more than 30% of all fighters are skilled in both the Muy Thai and Brazilian Jiu Jitsu styles of fighting. 20% of the fighters who are not skilled in Brazilian Jiu Jitsu are skilled in Muy Thai. 60% of all fighters are skilled in Brazilian Jiu Jitsu. What is the range of the percent of fighters who are skilled in Muy Thai ?

A. 18-38
B. 28-58
C. 38-68
D. 48-78
E. 58- 88

Originally posted by anik89 on 26 Oct 2014, 19:42.
Last edited by Bunuel on 27 Oct 2014, 01:16, edited 1 time in total.
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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post 26 Oct 2014, 21:06
3
anik89 wrote:
In the sport of mixed martial arts (MMA), more than 30% of all fighters are skilled in both the Muy Thai and
Brazilian Jiu Jitsu styles of fighting. 20% of the fighters who are not skilled in Brazilian Jiu Jitsu are skilled in
Muy Thai. 60% of all fighters are skilled in Brazilian Jiu Jitsu.

what is The range of the percent of fighters who are skilled in Muy Thai ?

a. 18-38
b. 28-58
c. 38-68
d. 48-78
e.58- 88


Two types of martial arts are discussed: MT and JJ

60% of all are skilled in JJ. More than 30% are skilled in both. So less than 30% are skilled in ONLY JJ.

Attachment:
Ques3.jpg
Ques3.jpg [ 13.39 KiB | Viewed 2888 times ]

Since 60% are skilled in JJ, 40% are not skilled in JJ. 20% of these are skilled in MT i.e. 20/100 * 40 = 8
So the pink region above is 8.

We need the range of the complete MT circle. It will be more than 8 + 30 = 38. It can take a maximum value of 68 since the orange region can at most be 60 (if all 60 JJ skilled are skilled in MT too).
So answer is (C)
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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post 26 Oct 2014, 21:23
VeritasPrepKarishma wrote:
anik89 wrote:
In the sport of mixed martial arts (MMA), more than 30% of all fighters are skilled in both the Muy Thai and
Brazilian Jiu Jitsu styles of fighting. 20% of the fighters who are not skilled in Brazilian Jiu Jitsu are skilled in
Muy Thai. 60% of all fighters are skilled in Brazilian Jiu Jitsu.

what is The range of the percent of fighters who are skilled in Muy Thai ?

a. 18-38
b. 28-58
c. 38-68
d. 48-78
e.58- 88


Two types of martial arts are discussed: MT and JJ

60% of all are skilled in JJ. More than 30% are skilled in both. So less than 30% are skilled in ONLY JJ.

Attachment:
Ques3.jpg

Since 60% are skilled in JJ, 40% are not skilled in JJ. 20% of these are skilled in MT i.e. 20/100 * 40 = 8
So the pink region above is 8.

We need the range of the complete MT circle. It will be more than 8 + 30 = 38. It can take a maximum value of 68 since the orange region can at most be 60 (if all 60 JJ skilled are skilled in MT too).
So answer is (C)



thank you karishma
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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post 26 Oct 2014, 21:53
3
anik89 wrote:
In the sport of mixed martial arts (MMA), more than 30% of all fighters are skilled in both the Muy Thai and
Brazilian Jiu Jitsu styles of fighting. 20% of the fighters who are not skilled in Brazilian Jiu Jitsu are skilled in
Muy Thai. 60% of all fighters are skilled in Brazilian Jiu Jitsu.

what is The range of the percent of fighters who are skilled in Muy Thai ?

a. 18-38
b. 28-58
c. 38-68
d. 48-78
e.58- 88



Answer is C
Attachments

JJ and MT.jpg
JJ and MT.jpg [ 33.83 KiB | Viewed 2790 times ]

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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post 26 Oct 2014, 22:28
Attachment:
kar.png
kar.png [ 5.02 KiB | Viewed 2787 times ]


1. Say total number of fighters = 100

2. Total BJJ are 6% = 60

3. Remaining (which are not BJJ) = 100 - 60 = 40

4. More than 30% know BJJ & MT combined = > 30

5. 20% of Not BJJ know MT = 20/100 * 40 = 8

6. Total knowing MT = 38+

Answer = C
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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter  [#permalink]

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New post 19 Jul 2019, 00:32
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Re: In the sport of mixed martial arts (MMA), more than 30% of all fighter   [#permalink] 19 Jul 2019, 00:32
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